The flat limit of three dimensional asymptotically anti-de Sitter spacetimes
General Relativity and Quantum Cosmology
2013-05-30 v1 High Energy Physics - Theory
Abstract
In order to get a better understanding of holographic properties of gravitational theories with a vanishing cosmological constant, we analyze in detail the relation between asymptotically anti-de Sitter and asymptotically flat spacetimes in three dimensions. This relation is somewhat subtle because the limit of vanishing cosmological constant cannot be naively taken in standard Fefferman-Graham coordinates. After reformulating the standard anti-de Sitter results in Robinson-Trautman coordinates, a suitably modified Penrose limit is shown to connect both asymptotic regimes.
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Cite
@article{arxiv.1204.3288,
title = {The flat limit of three dimensional asymptotically anti-de Sitter spacetimes},
author = {Glenn Barnich and Andrés Gomberoff and Hernán A. González},
journal= {arXiv preprint arXiv:1204.3288},
year = {2013}
}
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11 pages revtex file